How is corrosion rate measured? Tafel extrapolation and polarisation resistance (LPR)
1 Theory
Mixed-potential theory
Corrosion is the simultaneous progress on the same surface of the anodic dissolution of the metal and the cathodic reduction of a species in the environment (O₂, H⁺). The potential at which the currents of the two reactions are equal is the corrosion potential E_corr, the common current the corrosion current i_corr. By Faraday's law i_corr is converted to the mass-loss rate and from there to the penetration rate (mm/year): CR = K·i_corr·EW/ρ. The advantage of electrochemical methods is that they give a measurement in minutes versus a mass-loss test lasting months.
Tafel extrapolation
A potentiodynamic scan is made ±250 mV around E_corr; the logarithm of |i| is plotted against potential. Extrapolation of the anodic and cathodic Tafel lines to E_corr gives i_corr and the Tafel slopes (β_a, β_c). A correct result requires at least one decade of linear region on each branch; passivation, diffusion limit and ohmic drop destroy the linearity. Since the scan alters the sample surface the method is semi-destructive.
Polarisation resistance (LPR)
The slope R_p = dE/di is measured in the range E_corr ±10–20 mV; with Stern–Geary i_corr = B/R_p. B is calculated from the Tafel slopes; if unknown, default values such as 26 mV (activation-controlled) or 52 mV (diffusion-controlled) are used with an error margin. Fast, non-destructive and suited to continuous monitoring; however, the measured R_p also contains the electrolyte resistance — in poorly conducting media R_u must be subtracted or separated by EIS.
Advanced methods
Harmonic analysis and variable-amplitude sinusoidal methods such as VASP/CASP derive both the Tafel slopes and i_corr from a single measurement and remove the assumption of the constant B. Electrochemical noise (EN) gives the noise resistance (R_n ≈ R_p) and localised-corrosion indicators from potential and current fluctuations without external excitation. In systems where mass transport is limiting (e.g. oxygen diffusion) there is no cathodic Tafel region; i_corr is read from the limiting current.
2 Application in measurement
Under small polarisation of ±10–20 mV around the corrosion potential Ecorr the current-potential relationship is linear; the slope is the polarisation resistance Rp and is converted to corrosion current by the Stern-Geary equation. Tafel extrapolation finds Icorr from the log|i| – E curve under wider polarisation (±250 mV); ASTM G59 and G102 define the measurement and calculation procedures.
Errors: ohmic drop (high-resistance media, concrete), mass-transfer limitation (oxygen reduction), change of the surface during the measurement. Sinusoidal techniques such as VASP and CASP give Rp and the Tafel coefficients in a single measurement.
The corrosion rate (mm/year) is calculated from Icorr by Faraday's law; equivalent weight and density are taken according to G102.
Key equations
Stern-Geary: Icorr = B/Rp, B = βa·βc/(2.303(βa+βc))
3 Applicability
Where it applies
- Material/inhibitor screening, comparison of environment aggressiveness, field corrosion monitoring (LPR probes), testing to standards (ASTM G59, G102, G3).
Limits and caveats
- On passive metals (stainless steel, Ti, Al) i_corr is very small and the Tafel regions are ill-defined; for localised corrosion (pitting) potentiodynamic cyclic polarisation (ASTM G61) is required.
- Results are an average of the surface; they do not represent localised attack.
4 What did the application notes find?
- Corrosion AN10 — Shows step by step the application of Tafel fit and R_p fit for iron in acid; the consistency of the i_corr obtained by both methods and the derivation of the constant B from the Tafel slopes.
- Corrosion AN36 — Shows the principle of the VASP technique (variable-amplitude sinusoidal micropolarisation) and the extraction of β_a, β_c and i_corr from a single measurement; the results agree with classical Tafel.
- Corrosion AN37 — Introduces the CASP (constant-amplitude sinusoidal micropolarisation) method; explains the determination of the Tafel parameters and i_corr by harmonic analysis.
- Corrosion AN47 — Shows that the Stern method becomes invalid when the cathodic reaction is limited by mass transport, and the calculation of i_corr from the model corrected with the limiting current.
- Corrosion AN48 — Quantifies the systematic error created by ohmic drop in i_corr determination and shows that correction is mandatory.
5 Which instruments perform this measurement?
References
- article M. Stern, A. L. Geary. Electrochemical Polarization I. A Theoretical Analysis of the Shape of Polarization Curves. J. Electrochem. Soc. 104, 56, 1957. doi:10.1149/1.2428496
- article E. McCafferty. Validation of corrosion rates measured by the Tafel extrapolation method. Corrosion Science 47, 3202–3215, 2005. doi:10.1016/j.corsci.2005.05.046
- standard ASTM International. ASTM G59 — Standard Test Method for Conducting Potentiodynamic Polarization Resistance Measurements. ASTM, 2020. link
- standard ASTM International. ASTM G102 — Standard Practice for Calculation of Corrosion Rates and Related Information from Electrochemical Measurements. ASTM, 2015. link

